Question
Justin is considering two websites for downloading music.The costs are detailed here.
Website 1: a yearly fee of $30 and $1.50 for each download
Website 2: $2 for each download
What is a system of equations to represent the costs for one year?
Express your equations in the form of y=mx+b
where x is the number of downloads for the year and y is the total cost for the year.
Enter your equations in the boxes.
Website 1:
Website 2:
Website 1: a yearly fee of $30 and $1.50 for each download
Website 2: $2 for each download
What is a system of equations to represent the costs for one year?
Express your equations in the form of y=mx+b
where x is the number of downloads for the year and y is the total cost for the year.
Enter your equations in the boxes.
Website 1:
Website 2:
Answers
GPT-4o mini
To express the costs for both websites in the form of equations, we can define \( y \) as the total cost for the year and \( x \) as the number of downloads.
**Website 1:**
The cost includes a yearly fee of $30 plus $1.50 for each download.
So, the equation can be expressed as:
\[
y = 1.5x + 30
\]
**Website 2:**
The cost is $2 for each download, with no yearly fee.
So, the equation can be expressed as:
\[
y = 2x
\]
Now, we can summarize the equations:
**Website 1:**
\[
y = 1.5x + 30
\]
**Website 2:**
\[
y = 2x
\]
**Website 1:**
The cost includes a yearly fee of $30 plus $1.50 for each download.
So, the equation can be expressed as:
\[
y = 1.5x + 30
\]
**Website 2:**
The cost is $2 for each download, with no yearly fee.
So, the equation can be expressed as:
\[
y = 2x
\]
Now, we can summarize the equations:
**Website 1:**
\[
y = 1.5x + 30
\]
**Website 2:**
\[
y = 2x
\]